Abstract and Applied Analysis
Volume 2012 (2012), Article ID 414195, 27 pages
http://dx.doi.org/10.1155/2012/414195
Research Article

On the Self-Intersection Local Time of Subfractional Brownian Motion

Junfeng Liu,1 Zhihang Peng,2 Donglei Tang,1 and Yuquan Cang1

1School of Mathematics and Statistics, Nanjing Audit University, 86 West Yu Shan Road, Pukou, Nanjing 211815, China
2Department of Epidemiology and Biostatistics, Nanjing Medical University, 140 Hanzhong Road, Gulou, Nanjing 210029, China

Received 16 May 2012; Accepted 24 October 2012

Academic Editor: Ahmed El-Sayed

Copyright © 2012 Junfeng Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the problem of self-intersection local time of -dimensional subfractional Brownian motion based on the property of chaotic representation and the white noise analysis.